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Delaunay-Based Polygon Morphing Across a Change in Topology

机译:拓扑变化中基于Delaunay的多边形变形

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摘要

We present a new object-based algorithm for morphing between two shapes with an arbitrary number of polygons and arbitrarily different topology. Many solutions have been proposed for morphing between two polygons. However, there has been little attention to morphing between different numbers of polygons, across a change in topology. A modified conforming Delau-nay triangulation is used to build the vertex correspondence. Polygon evolution is used to smooth the morph. The morph requires no user interaction, avoids self-intersection, uses dynamic vertex correspondence, and follows nonlinear vertex paths.
机译:我们提出了一种新的基于对象的算法,用于在具有任意数量的多边形和任意不同的拓扑的两个形状之间进行变形。已经提出了许多用于在两个多边形之间变形的解决方案。但是,很少有人关注拓扑变化中不同数量的多边形之间的变形。修改后的符合Delau-nay三角剖分用于构建顶点对应关系。多边形演化用于平滑变形。变形不需要用户交互,可以避免自相交,使用动态顶点对应关系,并遵循非线性顶点路径。

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